Copyright © 2010 Shiguo Peng and Liping Yang. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
This paper develops some new Razumikhin-type theorems on global exponential
stability of impulsive functional differential equations. Some applications
are given to impulsive delay differential equations. Compared with
some existing works, a distinctive feature of this paper is to address exponential
stability problems for any finite delay. It is shown that the functional
differential equations can be globally exponentially stabilized by impulses
even if it may be unstable itself. Two examples verify the effectiveness of
the proposed results.